Now (REF ) is also consistent with Weinberg's soft-graviton theorem. In \(D=5+1\)  Weinberg's soft-graviton theorem can be written as [1]}, [2]},
\({\begin{array}{c}{\lbrace \omega _i,x_i, out\rbrace } h^{out}_{ab}(x) {\lbrace \omega _j,x_j,in\rbrace } \\= \gamma \bigg [ \sum _{i\in out} \omega _i \bigg ( \delta _{ab} - 4 \frac{(x-x_i)_a(x-x_i)_b}{(x-x_i)^2} \bigg ) - \sum _{j\in in} \omega _j \bigg ( \delta _{ab} - 4 \frac{(x-x_j)_a(x-x_j)_b}{(x-x_j)^2} \bigg ) \bigg ] \\\times {\lbrace \omega _i,x_i, out\rbrace }{\lbrace \omega _j,x_j,in\rbrace }\end{array}}\) 
